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12002724041 = 7112347914149
BaseRepresentation
bin10110010110110101…
…10000100011001001
31010222111020120000212
423023122300203021
5144040144132131
65303004010505
7603303320360
oct131332604311
933874216025
1012002724041
1150aa252250
1223ab830a35
1311938a9699
1481c12a7d7
154a3b0ca2b
hex2cb6b08c9

12002724041 has 32 divisors (see below), whose sum is σ = 15648768000. Its totient is φ = 8926822080.

The previous prime is 12002724011. The next prime is 12002724067. The reversal of 12002724041 is 14042720021.

It is not a de Polignac number, because 12002724041 - 26 = 12002723977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002723998 and 12002724016.

It is not an unprimeable number, because it can be changed into a prime (12002724011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841235 + ... + 855383.

It is an arithmetic number, because the mean of its divisors is an integer number (489024000).

Almost surely, 212002724041 is an apocalyptic number.

12002724041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002724041 is a deficient number, since it is larger than the sum of its proper divisors (3646043959).

12002724041 is a wasteful number, since it uses less digits than its factorization.

12002724041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14669.

The product of its (nonzero) digits is 896, while the sum is 23.

The spelling of 12002724041 in words is "twelve billion, two million, seven hundred twenty-four thousand, forty-one".

Divisors: 1 7 11 23 77 161 253 479 1771 3353 5269 11017 14149 36883 77119 99043 121187 155639 325427 848309 1089473 2277989 3579697 6777371 25057879 47441597 74551081 155879533 521857567 1091156731 1714674863 12002724041